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Finding the Fourth Proportional to 1,115.92, 1,674.30 and 467.20

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Solution

The fourth proportional to 1,115.92, 1,674.30 and 467.20 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.92 : 1,674.30 = 467.20 : x
  2. Step 2: Convert to fraction form
    1,115.92/1,674.30 = 467.20/x
  3. Step 3: Cross multiply
    1,115.92x = 1,674.30 × 467.20
  4. Step 4: Simplify right side
    1,115.92x = 782,232.96
  5. Step 5: Solve for x
    x = 782,232.96/1,115.92
  6. Step 6: Final answer
    x = 700.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.